12444032000 has 176 divisors, whose sum is σ = 31268989440. Its totient is φ = 4941824000.

The previous prime is 12444031991. The next prime is 12444032009. The reversal of 12444032000 is 23044421.

It is an interprime number because it is at equal distance from previous prime (12444031991) and next prime (12444032009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444032009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24447746 + ... + 24448254.

Almost surely, 2^12444032000 is an apocalyptic number.

12444032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634494720).

12444032000 is an abundant number, since it is smaller than the sum of its proper divisors (18824957440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12444032000 is an equidigital number, since it uses as much as digits as its factorization.

12444032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12444032000 its reverse (23044421), we get a palindrome (12467076421).

The spelling of 12444032000 in words is "twelve billion, four hundred forty-four million, thirty-two thousand".